Question

1. ( mangle stu = 64^circ ) and ( mangle stf = 22^circ ). find ( mangle ftu ).

Explanation:

Step1: Identify angle relationship

From the diagram, $\angle STU = \angle STF + \angle FTU$. So, $m\angle FTU = m\angle STU - m\angle STF$.

Step2: Substitute values

Substitute $m\angle STU = 64^\circ$ and $m\angle STF = 22^\circ$ into the formula: $m\angle FTU = 64^\circ - 22^\circ$.

Step3: Calculate the result

$64^\circ - 22^\circ = 42^\circ$.

Answer:

$42^\circ$